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Finding the Fourth Proportional to 13,471.36, 18,586.58 and 7,806.08

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Solution

The fourth proportional to 13,471.36, 18,586.58 and 7,806.08 is: 10,770.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.36 : 18,586.58 = 7,806.08 : x
  2. Step 2: Convert to fraction form
    13,471.36/18,586.58 = 7,806.08/x
  3. Step 3: Cross multiply
    13,471.36x = 18,586.58 × 7,806.08
  4. Step 4: Simplify right side
    13,471.36x = 145,088,330.41
  5. Step 5: Solve for x
    x = 145,088,330.41/13,471.36
  6. Step 6: Final answer
    x = 10,770.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.